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Finding the Third Proportional to 45,852 and 97,228

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Solution

The third proportional to 45,852 and 97,228 is: 206,169.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,852 : 97,228 = 97,228 : x
  2. Step 2: Convert to fraction form
    45,852/97,228 = 97,228/x
  3. Step 3: Cross multiply
    45,852x = 97,228 × 97,228
  4. Step 4: Simplify right side
    45,852x = 9,453,283,984
  5. Step 5: Solve for x
    x = 9,453,283,984/45,852
  6. Step 6: Final answer
    x = 206,169.50

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.